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PLEASE SOLVE THIS WORKSHEET AND PLEASE ONLY DO IT HAND WTITTEN WITH BLUE OR BLACK INK PEN PLEASE, REMEMBER I ONLY WANT IT DONE HAND

PLEASE SOLVE THIS WORKSHEET AND PLEASE ONLY DO IT HAND WTITTEN WITH BLUE OR BLACK INK PEN PLEASE, REMEMBER I ONLY WANT IT DONE HAND WRITTEN AND WITH BLUE OR BLACK IN PEN, PLEASE WRITE VERY CLEARLY, THANK YOU.

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4) Suppose that the function f is defined by f(x) = 5x3 -10x2-8x + 25, with domain [-2, 6] . a) Calculate the slope of the secant line that connects the two points (-2, f(-2) ) & (6, f(6) ) . This slope is b) Explain how we can be certain that there exists a number k between -2 and 6 such that the first derivative of f evaluated at k equals 92

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